Abstract
In this work, a targeting method to be used together with the local OGY control is suggested. In order to reduce the typical drawback of the OGY control, i.e. the long duration usually required for a chaotic system to reach the close neighborhood of the chosen target—an unstable equilibrium point or an unstable periodic orbit—, additional activation regions are introduced, starting from which the system can be steered towards the target within a few steps applying small perturbations to the control parameter. As in conventional OGY control, the a priori knowledge of the system dynamics is not required. The suggested Extended Control Regions (ECR) method has been implemented with a Neural Network using Radial Basis Functions on several chaotic systems and the successful reduction in the average reaching time has been demonstrated.
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